CPS Analysis & Optimization 3 — Questions and Answers
Question 1: Which simulation method is best suited for analyzing the effect of random variation in a complex process with multiple interdependent steps?
- Deterministic modeling
- Monte Carlo simulation (Correct answer)
- Linear programming
- SIPOC mapping
Correct answer: Monte Carlo simulation
Monte Carlo simulation runs thousands of iterations with randomly sampled input values to model the probabilistic behavior of complex systems.
Question 2: A process produces 500 units; 30 have at least one defect and 12 units are scrapped. What is the first pass yield?
- 97.6%
- 94.0% (Correct answer)
- 97.4%
- 91.2%
Correct answer: 94.0%
First pass yield equals units passing without any defect divided by total units: (500−30)/500 = 470/500 = 94.0%.
Question 3: In the Theory of Constraints, which step follows identifying the system constraint?
- Elevate the constraint
- Exploit the constraint (Correct answer)
- Subordinate everything else to the constraint
- Identify a new constraint
Correct answer: Exploit the constraint
After identifying the constraint, the next step is to exploit it — maximize its output before investing in additional resources.
Question 4: A control chart shows eight consecutive points above the centerline but within control limits. This pattern indicates:
- The process is performing optimally
- A special cause is likely present (Correct answer)
- Common cause variation only
- The control limits need recalculation
Correct answer: A special cause is likely present
Eight or more consecutive points on one side of the centerline is a Western Electric run rule violation indicating a non-random special cause.
Question 5: Which analysis technique maps how information and materials flow from supplier to customer to identify bottlenecks and waste?
- FMEA
- Value stream mapping (Correct answer)
- Fishbone diagram
- Affinity diagram
Correct answer: Value stream mapping
Value stream mapping documents every step, delay, and information flow across the entire process from supplier input to customer delivery.
Question 6: When using a scatter diagram to analyze process data, a correlation coefficient near -1.0 indicates:
- No relationship between variables
- A strong positive linear relationship
- A strong negative linear relationship (Correct answer)
- A nonlinear relationship
Correct answer: A strong negative linear relationship
A correlation coefficient of -1.0 indicates a perfect inverse linear relationship where as one variable increases the other decreases proportionally.
Question 7: In process optimization, 'takt time' is calculated as:
- Total production time divided by number of defects
- Available production time divided by customer demand rate (Correct answer)
- Cycle time multiplied by number of operators
- Setup time plus run time per unit
Correct answer: Available production time divided by customer demand rate
Takt time equals available production time divided by customer demand, setting the pace at which the process must produce to meet demand.
CPS Analysis & Optimization 3
Which simulation method is best suited for analyzing the effect of random variation in a complex process with multiple interdependent steps?